As pointed out in Sect.REF , the ModMax deformed HR knots possess a representation in terms of the ordinary Bateman construction
based on two Bateman 4-scalar potentials \((\alpha ,\beta )\) , and a vanishing Bateman 4-vector potential \(\sigma ^\mu \) . Under such circumstances and as discussed
above, any bi-holomorphic transformation of the scalar potentials, \((f(\alpha ,\beta ),g(\alpha ,\beta ))\) , then defines yet another solution to the ModMax dynamics.
Within the context of MLE and starting from the Bateman scalar potentials for the HR knot, choosing \(f(\alpha ,\beta )=\alpha ^p\)  and \(g(\alpha ,\beta )=\beta ^q\) 
with \((p,q)\)  any pair of co-prime positive natural numbers produces[1]}, [2]}, [3]} an entire double infinite discrete series of additional
null electromagnetic knots with their own characteristic nontrivial topological properties and helicities. Starting from the doublet of ModMax deformed
HR knots constructed in this paper and their Bateman scalar potentials \((\alpha ,\beta )\) ,
an extensive study of all these ModMax deformed \((p,q)\)  knots and their properties could also be developed.
